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The n-person Prisoner's Dilemma is a widely used model for populations where individuals interact in groups. The evolutionary stability of populations has been analysed in the literature for the case where mutations in the population may be…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

The evolution of cooperative behaviour is studied in the deterministic version of the Prisoners' Dilemma on a two-dimensional lattice. The payoff parameter is set at the critical region $1.8 < b < 2.0$ , where clusters of cooperators are…

Nuclear Theory · Physics 2009-10-28 Zhen Cao , Rudolph C. Hwa

We consider a resource extraction problem which extends the classical de Finetti problem for a Wiener process to include the case when a competitor, who is equipped with the possibility to extract all the remaining resources in one piece,…

Optimization and Control · Mathematics 2022-04-15 Erik Ekström , Alessandro Milazzo , Marcus Olofsson

We study environments in which agents are randomly matched to play a Prisoner's Dilemma, and each player observes a few of the partner's past actions against previous opponents. We depart from the existing related literature by allowing a…

Theoretical Economics · Economics 2020-06-30 Yuval Heller , Erik Mohlin

The Prisoner's dilemma is the main game theoretical framework in which the onset and maintainance of cooperation in biological populations is studied. In the spatial version of the model, we study the robustness of cooperation in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Mendeli H. Vainstein , Jeferson J. Arenzon

Cumulants and moments are closely related to the basic mathematics of continuous and discrete selection (respectively). These relationships generalize Fisher's fundamental theorem of natural selection and also make clear some of its…

Populations and Evolution · Quantitative Biology 2025-10-17 Hasan Ahmed , Deena Goodgold , Khushali Kothari , Rustom Antia

Darwin's theory of evolution - as introduced in game theory by Maynard Smith - is not the only important evolutionary aspect in a evolutionary dynamics, since complex interdependencies, competition, and growth should be modeled by, for…

Physics and Society · Physics 2016-02-17 Roberto da Silva , Pablo A. Valverde , Luis C. Lamb

Altruistic punishment, where individuals incur personal costs to punish others who have harmed third parties, presents an evolutionary conundrum as it undermines individual fitness. Resolving this puzzle is crucial for understanding the…

Populations and Evolution · Quantitative Biology 2025-01-07 Chen Shen , Zhao Song , Lei Shi , Jun Tanimoto , Zhen Wang

We introduce a class of learning problems where the agent is presented with a series of tasks. Intuitively, if there is relation among those tasks, then the information gained during execution of one task has value for the execution of…

Machine Learning · Computer Science 2012-09-06 Christos Dimitrakakis

Here we consider a game theoretic model of multilevel selection in which individuals compete based on their payoff and groups also compete based on the average payoff of group members. Our focus is on multilevel social dilemmas: games in…

Populations and Evolution · Quantitative Biology 2019-12-10 Daniel B. Cooney

One of the contributions of this work is to formulate the problem of energy-efficient power control in multiple access channels (namely, channels which comprise several transmitters and one receiver) as a stochastic differential game. The…

Networking and Internet Architecture · Computer Science 2013-05-14 François Mériaux , Samson Lasaulce , Hamidou Tembine

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

Stochastic games combine controllable and adversarial non-determinism with stochastic behavior and are a common tool in control, verification and synthesis of reactive systems facing uncertainty. Multi-objective stochastic games are natural…

Computational Complexity · Computer Science 2022-07-21 Tobias Winkler , Maximilian Weininger

A contrarian is someone who deliberately decides to oppoe the prevailing choice of others. The Galam model of two state opinion dynamicsincorporates agent updates by a single step random grouping in which all participants adopt the opinion…

Statistical Mechanics · Physics 2009-11-10 Serge Galam

Cooperation and competition are fundamental forces shaping both natural and human systems, yet their interplay remains poorly understood. The Prisoner's Dilemma Game (PDG) has long served as a foundational framework in Game Theory for…

Physics and Society · Physics 2025-08-01 Alfonso de Miguel-Arribas , Chengbin Sun , Carlos Gracia-Lázaro , Yamir Moreno

Punishment and partner switching are two well-studied mechanisms that support the evolution of cooperation. Observation of human behaviour suggests that the extent to which punishment is adopted depends on the usage of alternative…

Physics and Society · Physics 2018-04-26 Hirofumi Takesue

This paper studies scenarios of cyclic dominance in a coevolutionary spatial model in which game strategies and links between agents adaptively evolve over time. The Optional Prisoner's Dilemma (OPD) game is employed. The OPD is an extended…

Computer Science and Game Theory · Computer Science 2017-02-15 Marcos Cardinot , Josephine Griffith , Colm O'Riordan

Prevalence of cooperation within groups of selfish individuals is puzzling in that it contradicts with the basic premise of natural selection. Favoring players with higher fitness, the latter is key for understanding the challenges faced by…

Physics and Society · Physics 2016-09-08 Matjaz Perc , Attila Szolnoki

Liquid democracy is a decision-making paradigm in which each agent can either vote directly for some alternative or (transitively) delegate its vote to another agent. To mitigate the issue of delegation cycles or the concentration of power,…

Computer Science and Game Theory · Computer Science 2022-09-05 Matthias Bentert , Niclas Boehmer , Maciej Rymar , Henri Tannenberg

We study a spatial Prisoner's dilemma game with two types (A and B) of players located on a square lattice. Players following either cooperator or defector strategies play Prisoner's Dilemma games with their 24 nearest neighbors. The…

Physics and Society · Physics 2015-05-13 Michel Droz , Janusz Szwabiński , György Szabó
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